# Practice 9 3 rational functions and their graphs answer key

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## Mrs. Snow's Math

Algebra 2 Chapter 9. Lesson Practice. 3. Name. Class. Date. Practice Rational Functions and Their Graphs. Find any points of discontinuity for each.

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Use transformations to graph rational functions. Use arrow notation. Identify vertical asymptotes. Identify horizontal asymptotes. Identify slant oblique asymptotes.

You may not be familiar with all the functions and characteristics in the tables; here are some topics to review:. Confused and have questions? The chart below provides some basic parent functions that you should be familiar with. Know the shapes of these parent functions well! Even when using t-charts, you must know the general shape of the parent functions in order to know how to transform them correctly! T-charts are extremely useful tools when dealing with transformations of functions. Transform function 2 units to the right , and 1 unit down.

Roundrock ISD adopted new math textbooks to be used starting with the school year. I have kept these notes available for parents and students alike as basic algebraic fundamentals do not change. Lesson 1 Parent Functions. Parent Functions Worksheet. Lesson 2 Domain and Range.

## Rational Functions: Predicting the Effects of Parameter Changes

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Vertical Horizontal Slant Examples. So far, we've dealt with each type of asymptote separately, kind of like your textbook probably does, giving one section in the chapter to each type. But on the test, the questions won't specify which type you need to find. In general, you will be given a rational fractional function, and you will need to find the domain and any asymptotes. You'll need to find the vertical asymptotes, if any, and then figure out whether you've got a horizontal or slant asymptote, and what it is. To make sure you arrive at the correct and complete answer, you will need to know what steps to take and how to recognize the different types of asymptotes. They and any restrictions on the domain will be generated by the zeroes of the denominator, so I'll set the denominator equal to zero and solve.

Finding the inverse of a rational function is relatively easy. Although it can be daunting at first, you will get comfortable as you study along. In this lesson, I have prepared five 5 examples to help you gain basic understanding on how to approach it.

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## 3 thoughts on “Practice 9 3 rational functions and their graphs answer key”

1. Answers. Chapter 9 Answers. Practice 1. 1 2. 3. 50 4. 5. 6. 7. 8. 9. or 2 Student writes each rational expression or equation with only minor.